## Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and Concise System of Geometry and Mensuration : Adapted to the Use of Schools and Academies in the American Republic |

### Common terms and phrases

12 feet 18 inches 20 feet 30 inches 9 inches acres altitude ameter base breadth bung diameter bushels cask centre chains chord circumference cone contain convex surface cube root cubic feet cubic foot cubic inches cylinder decimal depth describe diagonal distance divide a given equilateral triangle feet 6 inches feet in length feet long find the area find the solidity frustum girt given circle given line half head diameter hypotenuse inclined plane lever line A B measure miles parallel parallelogram pendulum perches perpendicular poles pounds PROBLEM pulley pyramid quotient radius rectangle regular polygon Required the area Required the content required the length required the number Required the solidity rhombus right angles rods RULE RULE.-Divide RULE.-Multiply the area segment slant height solid content solid feet specific gravity sphere square feet square root square yards straight line thickness ullage velocity versed sine vulgar fraction weight wine gallons

### Popular passages

Page 13 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 80 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.

Page 28 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.

Page 63 - To find the circumference of a circle when the diameter is given, or the diameter when the circumference is given. RULE. — Multiply the diameter by 3.1416...

Page 29 - BD the two triangles ABD, BDC, have all the sides of the one equal to the corresponding...

Page 32 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.

Page 68 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.

Page 22 - If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.

Page 89 - To find the solidity of a sphere or globe.. RULE.* "... Multiply the cube of the diameter by .5236, and the product will be the solidity.

Page 10 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.